Chapter 4: Modifying Pixels in a Range Introduction to Computing and Programming in Python: A Multimedia Approach Chapter 4: Modifying Pixels in a Range

Remember that pixels are in a matrix Matrices have two dimensions: A height and a width We can reference any element in the matrix with (x,y) or (horizontal, vertical) We refer to those coordinates as index numbers or indices We sometimes want to know where a pixel is, and getPixels doesn’t let us know that.

Pixels in a Matrix “Barbara.jpg” has height 293 (bottommost index is 292) and width 221 (rightmost index is 220)

Introducing the function range Range returns a sequence between its first two inputs, possibly using a third input as the increment >>> print range(1,4) [1, 2, 3] >>> print range(-1,3) [-1, 0, 1, 2] >>> print range(1,10,2) [1, 3, 5, 7, 9] >>> print range(3) [0,1,2] Notice: End value is never included! If you leave out a start value, it’s assumed to be zero.

Side Note: That thing in [] is a sequence >>> print a [1, 2, 3] >>> a = a + 4 An attempt was made to call a function with a parameter of an invalid type >>> a = a + [4] [1, 2, 3, 4] >>> a[0] 1 We can assign names to sequences, print them, add sequences, and access individual pieces of them. We can also use for loops to process each element of a sequence.

We can use range to generate index numbers We’ll do this by working the range from 0 to the height-1, and 0 to the width-1. Using the range function will make it easy to start from 0 and stop before the end value. But we’ll need more than one loop. Each for loop can only change one variable, and we need two for a matrix

Working the pixels by number To use range, we’ll have to use nested loops One to walk the width, the other to walk the height Be sure to watch your blocks carefully! def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1)

What’s going on here? def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1) The first time through the first loop, x is the name for 0. We’ll be processing the first column of pixels in the picture.

Now, the inner loop def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1) Next, we set y to 0. We’re now going to process each of the pixels in the first column.

Process a pixel def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1) With x = 0 and y = 0, we get the leftmost pixel and increase its red by 10%

Next pixel def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1) Next we set y to 1 (next value in the sequence range(0,getHeight(picture))

Process pixel (0,1) def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1) x is still 0, and now y is 1, so increase the red for pixel (0,1) We continue along this way, with y taking on every value from 0 to the height of the picture (minus 1).

Finally, next column def increaseRed2(picture): for x in range(0,getWidth(picture)): for y in range(0,getHeight(picture)): px = getPixel(picture,x,y) value = getRed(px) setRed(px,value*1.1) Now that we’re done with the loop for y, we get back to the FOR loop for x. x takes on the value 1, and we go back to the y loop to process all the pixels in the column x=1.

If you know where the pixels are: Mirroring Imagine a mirror horizontally across the picture, or vertically What would we see? How do generate that digitally? We simply copy the colors of pixels from one place to another

Work it out with matrices mirrorPoint is halfway across: getWidth(picture)/2 If left pixel is at (x,y), right pixel is at (width-x-1,y)

Recipe for mirroring def mirrorVertical(source): mirrorPoint = getWidth(source) / 2 width = getWidth(source) for y in range(0,getHeight(source)): for x in range(0,mirrorPoint): leftPixel = getPixel(source,x,y) rightPixel = getPixel(source,width - x - 1,y) color = getColor(leftPixel) setColor(rightPixel,color)

Can we do it with a horizontal mirror? def mirrorHorizontal(source): mirrorPoint = getHeight(source) / 2 height = getHeight(source) for x in range(0,getWidth(source)): for y in range(0,mirrorPoint): topPixel = getPixel(source,x,y) bottomPixel = getPixel(source,x,height - y - 1) color = getColor(topPixel) setColor(bottomPixel,color)

Of course!

What if we wanted to copy bottom to top? Very simple: Swap the order of pixels in the bottom line def mirrorBotTop(source): mirrorPoint = getHeight(source) / 2 height = getHeight(source) for x in range(0,getWidth(source)): for y in range(0,mirrorPoint): topPixel = getPixel(source,x,y) bottomPixel = getPixel(source,x,height - y - 1) color = getColor(bottomPixel) setColor(topPixel,color)

Mirroring bottom to top

Doing something useful with mirroring Mirroring can be used to create interesting effects, but it can also be used to create realistic effects. Consider this image that I took on a trip to Athens, Greece. Can we “repair” the temple by mirroring the complete part onto the broken part?

Figuring out where to mirror Use MediaTools to find the mirror point and the range that we want to copy

Writing functions for specific files…generally The function to mirror the temple needs to work for one and only one file. But we still don’t want to write out the whole path. setMediaPath() allows us to pick a directory where our media will be stored. getMediaPath(filename) will generate the entire path for us to the filename in the media directory THIS ONLY WORKS WHEN WE’RE ACCESSING FILES IN THE MEDIA DIRECTORY AND WHERE WE HAVE SET THE PATH FIRST!

Some Utility Functions If you know the name of the file, searching for it with pickAFile() feels tedious You can set and get a media folder (path) for remembering a place where your media will be coming from (or going to) setMediaPath() lets you pick a file in your media folder getMediaPath(basefilename) lets you generate a complete filename out of only the last part

Example >>> setMediaPath() New media folder: C:\Documents and Settings\Mark Guzdial\My Documents\mediasources\ >>> getMediaPath("barbara.jpg") 'C:\\Documents and Settings\\Mark Guzdial\\My Documents\\mediasources\\barbara.jpg' >>> barb=makePicture(getMediaPath("barbara.jpg"))

Program to mirror the temple def mirrorTemple(): source = makePicture(getMediaPath("temple.jpg")) mirrorPoint = 276 for x in range(13,mirrorPoint): for y in range(27,97): pleft = getPixel(source,x,y) pright = getPixel(source,mirrorPoint + mirrorPoint - 1 - x,y) setColor(pright,getColor(pleft)) show(source) return source

Did it really work? It clearly did the mirroring, but that doesn’t create a 100% realistic image. Check out the shadows: Which direction is the sun coming from?

Understanding the Temple Fix What is the very first transfer of pixels from and to? Which (x,y) pixel from? Which (x,y) pixel to? What is second? How many pixels get copied?

Adding print statements to see what’s happening def mirrorTemple(): source = makePicture(getMediaPath("temple.jpg")) mirrorPoint = 276 for x in range(13,mirrorPoint): for y in range(27,97): print "Copying color from",x,y, " to ",mirrorPoint + mirrorPoint - 1 - x, y pleft = getPixel(source,x,y) pright = getPixel(source,mirrorPoint + mirrorPoint - 1 - x,y) setColor(pright,getColor(pleft)) show(source) return source

First pixels are either side of the mirrorpoint, then moving down >>> p2=mirrorTemple() Copying color from 13 27 to 538 27 Copying color from 13 28 to 538 28 Copying color from 13 29 to 538 29

Counting pixels def mirrorTemple(): source = makePicture(getMediaPath("temple.jpg")) mirrorPoint = 276 count = 0 for x in range(13,mirrorPoint): for y in range(27,97): pleft = getPixel(source,x,y) pright = getPixel(source,mirrorPoint + mirrorPoint - 1 - x,y) setColor(pright,getColor(pleft)) count = count + 1 show(source) print "We copied",count,"pixels" return source

Counting pixels >>> p2=mirrorTemple() We copied 18410 pixels Where did that come from? How many rows? Y goes from 27 to 97 = 70 rows of pixels How many columns? X goes from 13 to 276 = 263 columns of pixels 70 * 263 = 18410

Moving pixels across pictures We’ve seen using index variables to track the pixel position we’re working with in a picture. We can copy between pictures, if we keep track of: The source index variables Where we’re getting the pixels from The target index variables Where we’re putting the pixels at (Not really copying the pixels: Replicating their color.)

What can you do then? What can you do when copying from one picture to another? Collages: Copy several pictures onto one Cropping: You don’t have to take the whole picture Scaling: Make a picture smaller, or larger when copying it

Blank files in mediasources getMediaPath(“7inX95in.jpg”) gives you a JPEG canvas which prints out as 7x9.5 inches Letter-sized page with 1 inch margins getMediaPath(“640x480.jpg”) gives a JPEG canvas at a common size: 640 pixels across by 480 pixels high

Copying pixels In general, what we want to do is to keep track of a sourceX and sourceY, and a targetX and targetY. We increment (add to them) in pairs sourceX and targetX get incremented together sourceY and targetY get incremented together The tricky parts are: Setting values inside the body of loops Incrementing at the bottom of loops

Copying Barb to a canvas def copyBarb(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas

Comments Python ignores from “#” through the rest of the line If you start a line with “#”, the whole line is ignored Why do we want lines to be ignored? To be able to leave notes to ourselves or someone else about how the program works

Walking through the copying function First, get the source (barb) and target (canvas) files and pictures as names we can use later. def copyBarb(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas

The actual copy We get the color of the pixel at sourceX and sourceY def copyBarb(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas We get the color of the pixel at sourceX and sourceY We set (copy) the color to the pixel in the target picture at targetX and targetY

Setting up the copy loop def copyBarb(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas targetX gets set to 0 at the beginning sourceX will range across the width of the source picture INSIDE the loop, we set targetY to 0 Inside because we want it to start at 0 each time we do a new X sourceY will range from 0 to one less height of source

Ending the loop def copyBarb(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas Just before we end the sourceY loop, we increment targetY It’s now set up for the next time through the loop It’s set correctly for the next value of sourceY Just before we end the sourceX loop, we increment the targetX Note carefully the indentation to figure out which goes with which loop

What’s this naming something to itself? targetX = targetX + 1 This isn’t really naming something as itself targetX + 1 is evaluated It will result in the number after targetX targetX = then sets the value of targetX The result is that targetX gets incremented by 1

Ending the copy function def copyBarb(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas At the very end, we show the source and target And return the modified target.

Works either way def copyBarb2(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying sourceX = 0 for targetX in range(0,getWidth(barb)): sourceY = 0 for targetY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) sourceY = sourceY + 1 sourceX = sourceX + 1 show(barb) show(canvas) return canvas As long as we increment sourceX and targetX together, and sourceY and targetY together, it doesn’t matter which is in the for loop and which is incremented via expression

Transformation = Small changes in copying Making relatively small changes in this basic copying program can make a variety of transformations. Change the targetX and targetY, and you copy wherever you want Cropping: Change the sourceX and sourceY range, and you copy only part of the program. Rotating: Swap targetX and targetY, and you end up copying sideways Scaling: Change the increment on sourceX and sourceY, and you either grow or shrink the image.

Copying into the middle of the canvas def copyBarbMidway(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 100 for sourceX in range(0,getWidth(barb)): targetY = 100 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas

Copying: How it works Here’s the initial setup:

Copying: How it works 2 After incrementing the sourceY and targetY once (whether in the for or via expression):

Copying: How it works 3 After yet another increment of sourceY and targetY: When we finish that column, we increment sourceX and targetX, and start on the next column.

Copying: How it looks at the end Eventually, we copy every pixel

Making a collage Could we do something to the pictures we copy in? Sure! Could either apply one of those functions before copying, or do something to the pixels during the copy. Could we copy more than one picture! Of course! Make a collage!

Page 91-92 (2ed edition) #Third picture, flower1 negated negative(flower1) targetX=200 for sourceX in range(0,getWidth(flower1)): targetY=getHeight(canvas)-getHeight(flower1)-5 for sourceY in range(0,getHeight(flower1)): px=getPixel(flower1,sourceX,sourceY) cx=getPixel(canvas,targetX,targetY) setColor(cx,getColor(px)) targetY=targetY + 1 targetX=targetX + 1 #Fourth picture, flower2 with no blue clearBlue(flower2) targetX=300 for sourceX in range(0,getWidth(flower2)): targetY=getHeight(canvas)-getHeight(flower2)-5 for sourceY in range(0,getHeight(flower2)): px=getPixel(flower2,sourceX,sourceY) #Fifth picture, flower1, negated with decreased red decreaseRed(flower1) targetX=400 show(canvas) return(canvas) def createCollage(): flower1=makePicture(getMediaPath("flower1.jpg")) print flower1 flower2=makePicture(getMediaPath("flower2.jpg")) print flower2 canvas=makePicture(getMediaPath("640x480.jpg")) print canvas #First picture, at left edge targetX=0 for sourceX in range(0,getWidth(flower1)): targetY=getHeight(canvas)-getHeight(flower1)-5 for sourceY in range(0,getHeight(flower1)): px=getPixel(flower1,sourceX,sourceY) cx=getPixel(canvas,targetX,targetY) setColor(cx,getColor(px)) targetY=targetY + 1 targetX=targetX + 1 #Second picture, 100 pixels over targetX=100 for sourceX in range(0,getWidth(flower2)): targetY=getHeight(canvas)-getHeight(flower2)-5 for sourceY in range(0,getHeight(flower2)): px=getPixel(flower2,sourceX,sourceY) Page 91-92 (2ed edition)

Can we make that easier? The collage code is long, yet simple. It’s the same thing over-and-over. We can generalize that copying loop, and with parameters, use it in many places. def copy(source, target, targX, targY): targetX = targX for sourceX in range(0,getWidth(source)): targetY = targY for sourceY in range(0,getHeight(source)): px=getPixel(source,sourceX,sourceY) tx=getPixel(target,targetX,targetY) setColor(tx,getColor(px)) targetY=targetY + 1 targetX=targetX + 1

Exact same collage! def createCollage2(): flower1=makePicture(getMediaPath("flower1.jpg")) print flower1 flower2=makePicture(getMediaPath("flower2.jpg")) print flower2 canvas=makePicture(getMediaPath("640x480.jpg")) print canvas #First picture, at left edge copy(flower1,canvas,0,getHeight(canvas)-getHeight(flower1)-5) #Second picture, 100 pixels over copy(flower2,canvas,100,getHeight(canvas)-getHeight(flower2)-5) #Third picture, flower1 negated negative(flower1) copy(flower1,canvas,200,getHeight(canvas)-getHeight(flower1)-5) #Fourth picture, flower2 with no blue clearBlue(flower2) copy(flower2,canvas,300,getHeight(canvas)-getHeight(flower2)-5) #Fifth picture, flower1, negated with decreased red decreaseRed(flower1) copy(flower1,canvas,400,getHeight(canvas)-getHeight(flower2)-5) return canvas

Rotating the copy def copyBarbSideways(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetY,targetX), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas

Rotating: How it works We increment the same, but we use targetX for the Y coordinate and targetY for the X coordinate

Rotate: How it ends Same amount of increment, even same values in the variables, but a different result.

def rotateBarbSideways(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 0 width = getWidth(barb) for sourceX in range(0,getWidth(barb)): targetY = 0 for sourceY in range(0,getHeight(barb)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetY,width - targetX - 1), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas Doing a real rotation

Cropping: Just the face def copyBarbsFace(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying targetX = 100 for sourceX in range(45,200): targetY = 100 for sourceY in range(25,200): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) targetY = targetY + 1 targetX = targetX + 1 show(barb) show(canvas) return canvas

def copyBarbsFace2(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying sourceX = 45 for targetX in range(100,100+(200-45)): sourceY = 25 for targetY in range(100,100+(200-25)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) sourceY = sourceY + 1 sourceX = sourceX + 1 show(barb) show(canvas) return canvas Cropping, another way

Scaling Scaling a picture (smaller or larger) has to do with sampling the source picture differently When we just copy, we sample every pixel If we want a smaller copy, we skip some pixels We sample fewer pixels If we want a larger copy, we duplicate some pixels We over-sample some pixels

Scaling the picture down def copyBarbsFaceSmaller(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying sourceX = 45 for targetX in range(100,100+((200-45)/2)): sourceY = 25 for targetY in range(100,100+((200-25)/2)): color = getColor(getPixel(barb,sourceX,sourceY)) setColor(getPixel(canvas,targetX,targetY), color) sourceY = sourceY + 2 sourceX = sourceX + 2 show(barb) show(canvas) return canvas

Scaling Up: Growing the picture To grow a picture, we simply duplicate some pixels We do this by incrementing by 0.5, but only use the integer part. >>> print int(1) 1 >>> print int(1.5) >>> print int(2) 2 >>> print int(2.5)

Scaling the picture up def copyBarbsFaceLarger(): # Set up the source and target pictures barbf=getMediaPath("barbara.jpg") barb = makePicture(barbf) canvasf = getMediaPath("7inX95in.jpg") canvas = makePicture(canvasf) # Now, do the actual copying sourceX = 45 for targetX in range(100,100+((200-45)*2)): sourceY = 25 for targetY in range(100,100+((200-25)*2)): color = getColor(getPixel(barb,int(sourceX),int(sourceY))) setColor(getPixel(canvas,targetX,targetY), color) sourceY = sourceY + 0.5 sourceX = sourceX + 0.5 show(barb) show(canvas) return canvas

Scaling up: How it works Same basic setup as copying and rotating:

Scaling up: How it works 2 But as we increment by only 0.5, and we use the int() function, we end up taking every pixel twice. Here, the blank pixel at (0,0) in the source gets copied twice onto the canvas.

Scaling up: How it works 3 Black pixels gets copied once…

Scaling up: How it works 4 And twice…

Scaling up: How it ends up We end up in the same place in the source, but twice as much in the target. Notice the degradation: Gaps that weren’t there previously Curves would get “choppy”: Pixelated

What to do? How do we clear up the degradation of scaling up? Variety of techniques, but mostly following the same basic idea: Use the pixels around to figure out what color a new pixel should be, then somehow (e.g., by averaging) compute the right color. Different techniques look at different pixels and compute different averages in different ways.

A blurring recipe def blur(pic,size): for pixel in getPixels(pic): currentX = getX(pixel) currentY = getY(pixel) r = 0 g = 0 b = 0 count = 0 for x in range(currentX - size,currentX + size): for y in range(currentY - size, currentY + size): if(x<0) or (y<0) or (x >= getWidth(pic)) or (y >=getHeight(pic)): pass # Skip if we go off the edge else: r = r + getRed(getPixel(pic,x,y)) g = g + getGreen(getPixel(pic,x,y)) b = b + getBlue(getPixel(pic,x,y)) count = count + 1 newColor = makeColor(r/count,g/count,b/count) setColor(pixel,newColor) We’ll see pass and else later, but you can probably get a sense here of what’s going on.

Blurring out the pixelation

Things to try: Can you come up with general copy, rotate, copy, and scale functions? Take input pictures and parameters Return the canvas the correct transformation applied Also think about generalizing the transformations: Scaling up and down by non-integer amounts Rotating by something other than 90 degree increments